conversations
list |
|---|
[
{
"value": "In what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 5 sec\\n(B) 4 sec\\n(C) 3 sec\\n(D) 6 sec\\n(E) 2 sec Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "T = 20/36 * 18/5 = 2 sec\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. At what rate percent on simple interest will a sum of money double itself in 70 years?\\nOptions:\\n(A) 1 3/7%\\n(B) 3 1/9%\\n(C) 3 9/3%\\n(D) 3 2/3%\\n(E) 3 6/3%",
"from": "human"
},
{
"value": "P = (P*70*R)/100\\nR = 1 3/7%\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "The number N is 5,2H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?\\nOptions:\\n(A) 1\\n(B) 3\\n(C) 5\\n(D) 7\\n(E) 9 Stream of consciousness:",
"from": "human"
},
{
"value": "If the number is divisible by 9, it must also be divisible by 3. Only 7 yields such a number.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "If the cost price of 50 articles is equal to the selling price of 35 articles, then the gain or loss percent is?\\nOptions:\\n(A) 16\\n(B) 127\\n(C) 12\\n(D) 18\\n(E) 43 Stream of consciousness:",
"from": "human"
},
{
"value": "Percentage of profit = 15/35 * 100 = 43%\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Find the odd man out\\n253, 136, 352, 324, 631, 244\\nOptions:\\n(A) 324\\n(B) 136\\n(C) 352\\n(D) 631\\n(E) 531 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "The sum all three digits comes to 10 except 324\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 3 sec\\n(B) 4 sec\\n(C) 5 sec\\n(D) 6 sec\\n(E) 7 sec",
"from": "human"
},
{
"value": "T = 40/36 * 18/5 = 4 sec\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.\\nOptions:\\n(A) Sudhir had 34 cars, Arvind had 21 cars and Gauri had 12 cars.\\n(B) Sudhir had 38 cars, Arvind had 21 cars and Gauri had 12 cars.\\n(C) Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.\\n(D) Sudhir had 32cars, Arvind had 21 cars and Gauri had 12 cars.\\n(E) Sudhir had 36 cars, Arvind had 21 cars and Gauri had 12 cars. Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Sudhir Arvind Gauri\\nFinally 24 24 24\\nBefore Gauri’s transaction 12 12 48\\nBefore Arvind’s transaction 6 42 24\\nBefore Sudhir’ s transaction 39 21 12\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\\nOptions:\\n(A) 22 1/6 %\\n(B) 22 8/2 %\\n(C) 25 1/2 %\\n(D) 22 1/2 %\\n(E) 22 5/2 % OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "9 = (1*40*R)/100\\nR = 22 1/2 % The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. In a recent survey 40% houses contained two or more people. Of those houses containing only one person 25% were having only a male. What is the percentage of all houses which contain exactly one female and no males?\\nOptions:\\n(A) 75\\n(B) 40\\n(C) 15\\n(D) Cannot be determined\\n(E) None of these",
"from": "human"
},
{
"value": "Houses containing only one person = 100 – 40 = 60%\\nHouses containing only a male = 60 × 25⁄100 = 15%\\n∴ Houses containing only one female = 60 – 15 = 45%\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. In a race with 30 runners where 4 trophies will be given to the top 6 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\\nOptions:\\n(A) 8^8 ways\\n(B) 8^9 ways\\n(C) 6^4 ways\\n(D) 8^7 ways\\n(E) 8^6 ways",
"from": "human"
},
{
"value": "6 people can be prized with 4 distinct prizes in 6^4 ways So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A certain league has three divisions. The respective divisions had 8, 10, and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?\\nOptions:\\n(A) 51\\n(B) 52\\n(C) 54\\n(D) 56\\n(E) 57",
"from": "human"
},
{
"value": "Overall, there can be 57 minuses. Tus, it is So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Divide Rs.32000 in the ratio 3:7?\\nOptions:\\n(A) 12000, 20000\\n(B) 9600, 22400\\n(C) 12000, 20007\\n(D) 12000, 20006\\n(E) 12000, 20001 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "3/10 * 32000 = 9600\\n7/8 * 32000 = 22400 So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 20%. What is the mark up on the cost price?\\nOptions:\\n(A) 40%\\n(B) 8%\\n(C) 25%\\n(D) 16.66%\\n(E) 9% Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Original cost before weight adjustment: X\\nCost after 90% weight adjustment: 9/10 X\\n20% profit on 9/10X: (120/100)(9/10)(X) or 108X/100\\nMark up on original cost of X: (108X/100)/X-1 = 8/100\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9 are wrong and the other digits are correct, then the correct answer would be:\\nOptions:\\n(A) 553681\\n(B) 555181\\n(C) 555681\\n(D) 556581\\n(E) 556881",
"from": "human"
},
{
"value": "987 = 3 x 7 x 47\\nSo, the required number must be divisible by each one of 3, 7, 47\\n553681->(Sum of digits = 28, not divisible by 3)\\n555181->(Sum of digits = 25, not divisible by 3)\\n555681 is divisible by 3, 7, 47\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A train 520 meters long is running with a speed of 34 kmph. The time taken by it to cross a tunnel 280 meters long is?\\nOptions:\\n(A) 287 sec\\n(B) 89 sec\\n(C) 48 sec\\n(D) 16 sec\\n(E) 17 sec",
"from": "human"
},
{
"value": "D = 580 + 280 = 800\\nS = 34 * 5/18 = 9 mps\\nT = 800/9 = 89 sec\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.12350. Find the share of A?\\nOptions:\\n(A) 3002\\n(B) 3000\\n(C) 3018\\n(D) 4000\\n(E) 5000 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "60*5:36*6:75*3\\n100: 72: 75\\n100/247 * 12350 = 5000 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "A lady starts from P towards Q and realizes that at a point R, if he walks 50 km further he will be at a point S, which is as far away from R as it is from Q. What is the distance between P and Q if the distance between P and R is half the distance from R to Q?( Assume that P, Q, R and S are all on the same straight line)\\nOptions:\\n(A) 150 km\\n(B) 200 km\\n(C) 250 km\\n(D) 125 km\\n(E) 155 km Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "P___50_____ R ___50_____S____50 ___Q\\nThe above figure gives the locations of P, R, S &Q in relation to each other.\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: If L is the least positive integer that is divisible by every integer from 1 to 9 inclusive, then L/2 is =\\nOptions:\\n(A) 5040\\n(B) 2520\\n(C) 1890\\n(D) 1260\\n(E) 630 Random thoughts:",
"from": "human"
},
{
"value": "The integer should be divisible by: 2, 3, 4, 5, 6, 7, 8 and 9, that is 2, 3, 2^2, 5, 2*3, 7, 2^3 and 3^2. The least common multiple of these integers is the product of 7, 5, 3^2 and 2^3. Then, L/2 is (7 * 5 * 3^2 * 2^3)/2 = 7*5*9*4 = 1260. The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: A wheel rotates 20 times every minute and moves 30 cm during each rotation. How many metres does the wheel move in one hour?\\nOptions:\\n(A) 360 metre\\n(B) 12 metre\\n(C) 320 metre\\n(D) 1200 metre\\n(E) 260 metre.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Number of times wheel moves in 1 hour = 20 * 30 = 1200\\n:. Distance moves = (1200*30) cms = 36000 cms\\nIn metres = 360 metre Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 1 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 5 stocks are possible?\\nOptions:\\n(A) 12\\n(B) 460\\n(C) 60\\n(D) 450\\n(E) 720 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "6C2 * 5C2 * 3C1 = 15*10*3 = 450. The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: Find the least number must be subtracted from 724946 so that remaining no.is divisible by 10?\\nOptions:\\n(A) 0\\n(B) 2\\n(C) 4\\n(D) 6\\n(E) 8.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "On dividing 724946 by 10 we get the remainder 6, so 6 should be subtracted Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Calculate the value of n from the below equation: n^3−10n+20=44\\nOptions:\\n(A) 1\\n(B) 5\\n(C) 3\\n(D) 2\\n(E) 4",
"from": "human"
},
{
"value": "Use elimination method to find the correct option. you find that of all the options when 4 is the correct value for n\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 30% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 20% less than the number there from 10 a.m. to 11 a.m. If 92 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\\nOptions:\\n(A) 10\\n(B) 20\\n(C) 30\\n(D) 40\\n(E) 50 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "No of people from 10 - 11 is x\\nNo of people from 11 - 12 is 4x/5\\nNo of people from 12 to 1 is (13/10)(4x/5)\\nGiven that 4x/5 + (13/10)(4x/5) = 92x/50 = 92\\nThen x = 50 So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 1 year the amount to be paid is?\\nOptions:\\n(A) 3377\\n(B) 2688\\n(C) 2688\\n(D) 7800\\n(E) 1268 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "A = 7500(26/25)^1 = 7800\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: The average of seven numbers is 18. The average of first three numbers is 16 and the average of last three numbers is 20. What is the middle number?\\nOptions:\\n(A) 20\\n(B) 22\\n(C) 25\\n(D) 18\\n(E) 24 Random thoughts:",
"from": "human"
},
{
"value": "The total of seven numbers = 7X18 = 126\\nThe total of first 3 and last 3 numbers is = 3 X 16+3 X 20 = 108\\nSo, the middle number is (126 - 108 ) = 18 The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: A pipe can fill a cistern in 14 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?\\nOptions:\\n(A) 17\\n(B) 16\\n(C) 28\\n(D) 13\\n(E) 12 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "1/14 - 1/28 = 1/28\\n28 minutes The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 3000, then his salary per month in rupees is:\\nOptions:\\n(A) 20000\\n(B) 6000\\n(C) 8000\\n(D) 10000\\n(E) None of these",
"from": "human"
},
{
"value": "Total expenditure = 40 + 25 + 15 + 5 = 85%\\nSaving = (100 - 85) = 15%\\n15/100 × Salary = 3000, Salary = 20000 Rs.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A family pays $900 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.\\nOptions:\\n(A) $1,000\\n(B) $1,200\\n(C) $1,300\\n(D) $1,800\\n(E) $2,200 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Upfront payment for insurance plan = 900$\\nFamily needs to pay 20 % of first 1000 $ in expense = 200$\\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 900 + 200 = 1100 $\\nTotal amount paid by insurance plan for first 1000 $ = 900 $\\nTotal amount paid by family will equal amount paid by plan when medical expense = 1300 $\\n(Since insurance plan will pay 100% of amount that exceeds 1100$ ) So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 360 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\\nOptions:\\n(A) 8/3\\n(B) 3/8\\n(C) 8/5\\n(D) 5/8\\n(E) 20/9 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Distance traveled by Eddy = 600 km\\nTime taken by Eddy = 3 hours\\nAverage speed of Eddy = 600/3 = 200 km/hour\\nDistance traveled by Freddy = 360 km\\nTime taken by Freddy = 4 hours\\nAverage speed of Freddy = 360/4 = 90 km/hour\\nRatio of average speed of Eddy to Freddy = 200/90 = 20/9 So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. How many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph?\\nOptions:\\n(A) 54 sec\\n(B) 65 sec\\n(C) 25 sec\\n(D) 45 sec\\n(E) 27 sec",
"from": "human"
},
{
"value": "D = 100 + 170 = 270\\nS = 36 * 5/18 = 10 mps\\nT = 270/10 = 27 sec\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 90 Θ 33 ) Θ 17 ) - ( 99 Θ (33 Θ 17)) ?\\nOptions:\\n(A) 10\\n(B) 8\\n(C) 6\\n(D) 4\\n(E) 2.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "(( 90 Θ 33 ) Θ 17 )\\nThe remainder of 90 divided by 33 is 24;\\nThe remainder of 24 divided by 17 is 7;\\n( 99 Θ (33 Θ 17))\\nThe remainder of 33 divided by 17 is 16;\\n7 - 3 = 4. Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?\\nOptions:\\n(A) 2345\\n(B) 4500\\n(C) 5000\\n(D) 6000\\n(E) 7000.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "2000 + 300 + 40 + 5 = 2345 Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 91 players took part in that tournament. How many matches were played?\\nOptions:\\n(A) 90 matches\\n(B) 95 matches\\n(C) 99 matches\\n(D) 85 matches\\n(E) 87 matches Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "A 90 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 90 matches were played. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "How many factors does 34^2 have?\\nOptions:\\n(A) 2\\n(B) 8\\n(C) 20\\n(D) 25\\n(E) 26 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "36^2 = 6*6*6*6 = 2^4*3^4\\nTotal factors = (4+1)*(4+1) = 5*4 = 20\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 4 picks?\\nOptions:\\n(A) 210\\n(B) 350\\n(C) 110\\n(D) 120\\n(E) 840 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Number of ways of ch0osing 4 stocks = 5C4\\nNumber of ways of ranking the chosen stocks = 4!\\nHence total ways of chosing and ranking = 5C4 * 4! = 120\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: A pipe can fill a cistern in 7 minutes whereas the cistern when fill can be emptied by a leak in 14 minutes. When both pipes are opened, find when the cistern will be full?\\nOptions:\\n(A) 17\\n(B) 16\\n(C) 70\\n(D) 14\\n(E) 12 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "1/7 - 1/14 = 1/14\\n14 minutes The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: If there are 4 seats and two students, in how many ways can they be seated?\\nOptions:\\n(A) 12\\n(B) 6\\n(C) 8\\n(D) 16\\n(E) 10 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "No. of ways of choosing 2 chairs out of 4 chairs on which two students will sit = 4C2 = 6\\nNo. of ways of 2 people sitting on selected chairs = 2!\\nTotal ways of making 2 people sit on 2 of 4 chairs = 4C2*2! = 6*2 = 12 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?\\nOptions:\\n(A) 23\\n(B) 277\\n(C) 18\\n(D) 178\\n(E) 181 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Use fibonnacci series, with starting two terms as 1, 2. So next terms are 3, 5, 8, 13, 21, 34, 55, 89\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?\\nOptions:\\n(A) 22\\n(B) 20\\n(C) 25\\n(D) 30\\n(E) 35",
"from": "human"
},
{
"value": "T = (100 * 16500)/(15 * 5000) = 22 years So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "How should be added in order to make 2345672 this number is divisible by 9?\\nOptions:\\n(A) 5\\n(B) 6\\n(C) 7\\n(D) 8\\n(E) 9 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Sum of the numbers 2345672 is 29 which is not multiple of 9\\nAdd 7 which makes the sum 36 which is multiple of 9\\nSo digit becomes 2345679 (as we know that if sum multiple of 9 then it is divisible of 9) The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "In what time will a railway train 30 m long moving at the rate of 36 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 5 sec\\n(B) 4 sec\\n(C) 3 sec\\n(D) 6 sec\\n(E) 1 sec Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "T = 30/36 * 18/5 = 3 se So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 3 years the amount to be paid is?\\nOptions:\\n(A) 3377\\n(B) 2688\\n(C) 2688\\n(D) 8436\\n(E) 1268 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "A = 7500(26/25)^3 = 8436\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The average of thirteen numbers is 9. The average of first six numbers is 5 and the average of last six numbers is 7. What is the middle number?\\nOptions:\\n(A) 47\\n(B) 45\\n(C) 25\\n(D) 37\\n(E) 44\nSome stream of consciousness:",
"from": "human"
},
{
"value": "The total of thirteen numbers = 13X9 = 117\\nThe total of first 6 and last 6 numbers is = 6 X 5+6 X 7 = 72\\nSo, the middle number is (117 - 72 ) = 45 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "8, 27, 64, 100, 125, 216, 343\\nOptions:\\n(A) 40\\n(B) 100\\n(C) 290\\n(D) 102\\n(E) 293 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "The pattern is 23, 33, 43, 53, 63, 73. But, 100 is not a perfect cube. So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "If the average (arithmetic mean) of the four numbers K, 2K + 3, 4K – 4 and 5K + 1 is 63, what is the value of K?\\nOptions:\\n(A) 11\\n(B) 15 3/4\\n(C) 21\\n(D) 23\\n(E) 25 3/10 Stream of consciousness:",
"from": "human"
},
{
"value": "K + 2K +3 + 4K - 4 + 5K +1 = 12K\\n(12K)/4 = 63\\n12K = 63 * 4 = 252\\nK = 252 / 12 = 21\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 75 with him, what was the average amount with the group before his joining the group?\\nOptions:\\n(A) s. 25.6\\n(B) s. 45/2\\n(C) s. 16.6\\n(D) s. 26\\n(E) s. 25/2 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Total members in the group = 7\\nAverage amount = Rs. 30\\nTotal amount with them = 7 * 30 = Rs. 210\\nOne number has Rs. 50. So, the amount with remaining 6 people = 210 - 75 = Rs. 135\\nThe average amount with them = 135/6 = Rs. 45/2 So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Which one of the following is a prime number?\\nOptions:\\n(A) 55\\n(B) 2\\n(C) 74\\n(D) 25\\n(E) 21",
"from": "human"
},
{
"value": "2 is divisible by 1 and itself So, it is a prime number. So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: A boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 12 minutes. Then the speed of the current is :\\nOptions:\\n(A) 1 kmph\\n(B) 2 kmph\\n(C) 3 kmph\\n(D) 2.5 kmph\\n(E) 3.5 kmph.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Rate upstream = (1/20 *60) = 3 kmph\\nRate dowm stream = 1/12 * 60 = 5 kmph\\nRate of the current = ½ (5-3) = 1 kmph Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Find the odd man out\\n253, 136, 352, 323, 631, 244\\nOptions:\\n(A) 323\\n(B) 136\\n(C) 352\\n(D) 631\\n(E) 531",
"from": "human"
},
{
"value": "The sum all three digits comes to 10 except 323\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: At a meeting of the 5 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 5 Chiefs of Staff be seated around a circular table?\\nOptions:\\n(A) 120\\n(B) 480\\n(C) 960\\n(D) 2520\\n(E) 5040 Random thoughts:",
"from": "human"
},
{
"value": "Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer D (2520), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect? The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 25?\\nOptions:\\n(A) 19\\n(B) 20\\n(C) 32\\n(D) 41\\n(E) 53\nSome stream of consciousness:",
"from": "human"
},
{
"value": "(1056 / 25) gives remainder 6\\n19 + 6 = 23, So we need to add 19 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 700 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\\nOptions:\\n(A) 511\\n(B) 546\\n(C) 552\\n(D) 562\\n(E) 570.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Number of newborns that can die in first month = 1/10 * 700 = 70\\nSurvived = 630\\nNumber of newborns that can die in second month = 1/10 * 630 = 63\\nSurvived = 567\\nNumber of newborns that can die in third month = 1/10 * 567 = 56\\nSurvived = 511 Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?\\nOptions:\\n(A) 198\\n(B) 288\\n(C) 363\\n(D) 360\\n(E) 484 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "I will go with D (pending elements to match is 2^2*3^2*10^1 = 360\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A Train requires 10 seconds to pass a pole while it requires 40 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.\\nOptions:\\n(A) 36kmph\\n(B) 42kmph\\n(C) 48kmph\\n(D) 52kmph\\n(E) 64kmph\nSome stream of consciousness:",
"from": "human"
},
{
"value": "In 10s the train crosses the pole and in 40 sec the train crosses one more stationary train\\nIn 30 sec the train travels a distance of 300 mtrs\\nSpeed = 300/30 = 10 m/s = 10 * 18/5 = 36 kmph The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) 80,30 kmph\\n(B) 80,20 kmph\\n(C) 80,10 kmph\\n(D) 80,40 kmph\\n(E) 80,90 kmph Random thoughts:",
"from": "human"
},
{
"value": "Speed downstream = 60 + 20 = 80 kmph\\nSpeed upstream = 60 - 20 = 40 kmph The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A 125 meter long train crosses a man standing on the platform in 5 sec. What is the speed of the train?\\nOptions:\\n(A) 229\\n(B) 108\\n(C) 278\\n(D) 126\\n(E) 90 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "S = 125/5 * 18/5 = 90 kmph\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A marble shop contains 6 blue marbles, 6 red marbles, and 6 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be the same color?\\nOptions:\\n(A) 1/68\\n(B) 60/68\\n(C) 13/68\\n(D) 13/48\\n(E) 1/48 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "It doesn't matter which type of card you choose, so:\\nProbability of choosing 1st card: 1\\nProbability of choosing 2nd card of the same type: 5/17\\nProbability of choosing 3rd card of the same type: 4/16\\nProbability of choosing 4th marble of the same type: 3/15\\nMultiply and you get 1/68\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?\\nOptions:\\n(A) 20%\\n(B) 25%\\n(C) 18%\\n(D) 50%\\n(E) none of these\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Here, l = 8 and m = 16\\nTherefore, first number = l/m x 100% of second number = 8/16 x 100% of second number = 50% of second number The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: A password of a computer consists of five digits 1 through 6. What is the probability that all digits are divisible by 3 ?\\nOptions:\\n(A) 1/3\\n(B) 1/6\\n(C) 1/27\\n(D) 1/243\\n(E) 1/486 Random thoughts:",
"from": "human"
},
{
"value": "For each digit there are six possibilities. Two of them (3 and 6) are divisible by three, so there is a one in three chance for each digit, and since the digits are independent of each other, overall probability is 1 / 3^5 or The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A train which has 390 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?\\nOptions:\\n(A) 26 sec\\n(B) 39 sec\\n(C) 36 sec\\n(D) 29 sec\\n(E) 30 sec\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Time taken to cross a moving person = length of train/ relative speed\\nTime taken = 390/((45-9) (5/18) = 390/ 36*(5/18) = 390/10 = 39 sec The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: 100 is increased by 50%. Find the final number.\\nOptions:\\n(A) 100\\n(B) 110\\n(C) 150\\n(D) 155\\n(E) 160 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Final number = Initial number + 50%(original number) = 100 + 50%(100) = 100 + 50 = 150.\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land twice on heads and twice tails?\\nOptions:\\n(A) 1/8\\n(B) 1/4\\n(C) 1/16\\n(D) 1/32\\n(E) 1/2 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Must be twice on heads and twice on tails\\n1/2*1/2*1/2*1/2 = 1/16 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?\\nOptions:\\n(A) 180\\n(B) 345\\n(C) 234\\n(D) 488\\n(E) 234",
"from": "human"
},
{
"value": "Angle traced by the hour hand in 6 hours = (360)/12x 6º = 180º.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If 10 % of an electricity bill is deducted, 45 is still to be paid. How much was the bill?\\nOptions:\\n(A) 50\\n(B) 60\\n(C) 55\\n(D) 70\\n(E) None of these\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Let the bill be x. Then\\n90% of x = 45\\n⇒ x = 45×100/90 = 50 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: Four of the following five parts lettered a, b, c, d and e are exactly equal. Which of the following is not equal to the other four?\\nOptions:\\n(A) 24(2) – 12(2) + 112 ÷ 14\\n(B) 17 × 12 + 59 × 4\\n(C) 15 × 28 + 20\\n(D) 27 × 16 + 56 ÷ 8\\n(E) 185 × 6 ÷ 2 – 23 × 5 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Other parts are equal to 440.\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "In what time will a railway train 65 m long moving at the rate of 32 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 3 sec\\n(B) 4 sec\\n(C) 5 sec\\n(D) 6 sec\\n(E) 7 sec Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "T = 65/32 * 18/5 = 7 sec So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: If 100!/30^n is an integer, which of the following is the greatest possible value of n?\\nOptions:\\n(A) 28\\n(B) 24\\n(C) 20\\n(D) 15\\n(E) 10 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "30^n = 2^n * 3^n * 5^n\\n100! has 97 2's, 48 3's and 24 5's\\nSince each of 2, 3 and 5 is required to form 30 and there are only 24 5's there can only be 24 30's in 100!\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The average age of applicants for a new job is 30, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?\\nOptions:\\n(A) 8\\n(B) 16\\n(C) 17\\n(D) 18\\n(E) 34",
"from": "human"
},
{
"value": "Minimum age = Average - 1 Standard deviation = 30 - 8 = 22\\nMaximum age = average + 1 Standard deviation = 30+ 8 = 38\\nMaximum number of different ages of the applicants = 38 - 22 + 1 = 17\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "How much is 65% of 40 is greater than 4/5 of 25?\\nOptions:\\n(A) 29\\n(B) 776\\n(C) 66\\n(D) 12\\n(E) 6 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "(65/100) * 40 – (4/5) * 25\\n26 - 20 = 6\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 240 m long?\\nOptions:\\n(A) 40 sec\\n(B) 42 sec\\n(C) 45 sec\\n(D) 48 sec\\n(E) 50 sec Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 45 * 5/18 = 25/2 m/sec\\nTotal distance covered = 360 + 240 = 600 m\\nRequired time = 600 * 2/25 = 48 sec So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 2 order of $250 ?\\nOptions:\\n(A) $1\\n(B) $2\\n(C) $3\\n(D) $4\\n(E) $5",
"from": "human"
},
{
"value": "Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$\\nTotal cost involved for a 250$ shipment: 3+3 = 6$. Thus, for two such orders = 12$\\nThe difference = 2$.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?\\nOptions:\\n(A) Rs.1261\\n(B) Rs.9261\\n(C) Rs.9621\\n(D) Rs.9162\\n(E) Rs.9164 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "A = 8000(21/20)3 = 9261 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: The speed of a boat in still water is 30kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) kmph\\n(B) kmph\\n(C) kmph\\n(D) kmph\\n(E) kmph Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Speed downstream = 30+ 20 = 50 kmph\\nSpeed upstream = 30 - 20 = 10 kmph\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A man rows his boat 78 km downstream and 56 km upstream, taking 4 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 6\\n(B) 5\\n(C) 7\\n(D) 8\\n(E) 3 Stream of consciousness:",
"from": "human"
},
{
"value": "Speed downstream = d/t = 78/(4) = 20 kmph\\nSpeed upstream = d/t = 56/(4) = 14 kmph\\nThe speed of the stream = (20 - 14)/2 = 3 kmph\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Which of the following is not a leap year ?\\nOptions:\\n(A) 700\\n(B) 800\\n(C) 900\\n(D) 1000\\n(E) 1200 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "The century divisible by 400 is So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?\\nOptions:\\n(A) 118\\n(B) 150\\n(C) 300\\n(D) 258\\n(E) 191 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Speed = 60 * 5/18 = 50/3 m/sec\\nLength of the train = speed * time = 50/3 * 18 = 300 m\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If the given two numbers are respectively 7% and 14% of a third number, then what percentage is the first of the second ?\\nOptions:\\n(A) 20%\\n(B) 25%\\n(C) 18%\\n(D) 50%\\n(E) none of these\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Here, l = 7 and m = 14\\nTherefore, first number = l/m x 100% of second number = 7/14 x 100% of second number = 50% of second number The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A car finishes a journey in five hours at the speed of 100 km/hr. If the same distance is to be covered in two hours how much more speed does the car have to gain?\\nOptions:\\n(A) 8 km/hr\\n(B) 10 km/hr\\n(C) 150 km/hr\\n(D) 16 km/hr\\n(E) None of these Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Distance covered by the car = 100 × 5 = 500 km\\n\\ Speed = 500⁄2 = 250 km/hr\\n\\ Speed gain = 250 – 100 = 150 km/hr\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: In digging a hole 10 m * 10 m * 100 m the volumes of the sand extracted will be?\\nOptions:\\n(A) 100 cu.m\\n(B) 1000 cu.m\\n(C) 10000 cu.m\\n(D) 2000 cu.m\\n(E) 4000 cu.m Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "10 * 10 * 100 = 10000\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: How many seconds will a train 130 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\\nOptions:\\n(A) 28 sec\\n(B) 23 sec\\n(C) 24 sec\\n(D) 25 sec\\n(E) 26 sec\nSome stream of consciousness:",
"from": "human"
},
{
"value": "D = 130 + 150 = 280\\nS = 36 * 5/18 = 10 mps\\nT = 280/10 = 28 sec The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\\nOptions:\\n(A) 7 1/2 sec\\n(B) 7 1/7 sec\\n(C) 7 8/2 sec\\n(D) 7 1/9 sec\\n(E) 7 2/2 sec Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "70 + 50 = 120 * 5/18 = 100/3 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 3/100 = 15/2 = 7 1/2 sec\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The average of 10 numbers is calculated as 5. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 4\\n(D) 5\\n(E) 6\nSome stream of consciousness:",
"from": "human"
},
{
"value": "10 * 5 + 36 – 26 = 60/10 = 6 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "A Train requires 10 seconds to pass a pole while it requires 35 seconds to cross a stationary train which is 500 mtrs long. Find the speed of the train.\\nOptions:\\n(A) 68 kmph\\n(B) 70 kmph\\n(C) 72 kmph\\n(D) 60 kmph\\n(E) 50 kmph Stream of consciousness:",
"from": "human"
},
{
"value": "In 10s the train crosses the pole and in 35 sec the train crosses one more stationary train\\nIn 25 sec the train travels a distance of 500 mtrs\\nSpeed = 500/25 = 20 m/s = 20 (3600/1000) = 20 * 18/5 = 72 kmph\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "In a school of 850 boys, 44% of Muslims, 14% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) A) 125\\n(B) B) 627\\n(C) C) 153\\n(D) D) 721\\n(E) E) 272 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "44 + 14 + 10 = 68%\\n100 – 68 = 32%\\n850 * 32/100 = 272 So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "For integers U and V, when U is divided by V, the remainder is even. Which of the following must be true?\\nOptions:\\n(A) U is odd\\n(B) At least one of U and V is odd\\n(C) The sum U + V is odd\\n(D) U and V share no common factors other than 1\\n(E) UV is odd. Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "At least one of U and V is odd So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Lisa's grade was 75th percentile of the 40 grades for her class. Of the 50 grades from another class, 8 were higher than Lisa's, and the rest were lower. If no other grade was the same as Lisa's grade, then Lisa's grade was what percentile of the grades of the two classes of two classes combined?\\nOptions:\\n(A) 62nd\\n(B) 74th\\n(C) 80th\\n(D) 87th\\n(E) 92nd",
"from": "human"
},
{
"value": "62nd/74th/80th/87th/92nd\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "he population of a city is 120,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?\\nOptions:\\n(A) 137787\\n(B) 134832\\n(C) 139776\\n(D) 139728\\n(E) 139718 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Population after n years = P [1 + (R/100)]2\\nPopulation after 2 years = 120000 * [1 + 6/100]2 = (120000 x 53/50 x 53/50) = 134832\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "In a school of 300 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) 54\\n(B) 63\\n(C) 70\\n(D) 42\\n(E) 31 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "44 + 28 + 10 = 82%\\n100 – 82 = 18%\\n300 * 18/100 = 54\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 3 times, and no one scored below 400 or over 700. If the individual ranges of the three people's scores in those 3 practice tests were 40, 70 and 100, what is the difference between the maximum and minimum possible ranges of all their scores put together.\\nOptions:\\n(A) 70\\n(B) 80\\n(C) 100\\n(D) 140\\n(E) 200",
"from": "human"
},
{
"value": "According to the information in the question the maximum range would be between 400 and 700(300). The minimum range would be the greatest range for any one individual, which is listed in the problem as 100. So the difference between these would be 300-100 or 200.\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "A pharmaceutical company received $5 million in royalties on the first $40 million in sales of and then $9 million in royalties on the next $210million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $40 million in sales to the next $210 million in sales?\\nOptions:\\n(A) 8%\\n(B) 15%\\n(C) 45%\\n(D) 52%\\n(E) 66% Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "(9/210)/(5/40) = 12/35 = 34% it means that 9/210 represents only 34%. Therefore a decrease of 66%. So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell when they meet in the middle?\\nOptions:\\n(A) 16\\n(B) 18\\n(C) 20\\n(D) 24\\n(E) 30 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Distance between Maxwell's and Brad's home = 50 km\\nMaxwell's speed = 4 km/h\\nBrad's speed = 6 km/h\\nRelative speed of approach = 10 km/h\\nTime = 50/ 10 = 5 hours\\nDistance traveled by Maxwell when they meet in the middle = 4*5 = 20 km So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 5\\n(D) 6\\n(E) 8.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "12/ (2 * 2) = 3 days Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?\\nOptions:\\n(A) 1/2\\n(B) 1/5\\n(C) 1/3\\n(D) 1/4\\n(E) 1/6 Stream of consciousness:",
"from": "human"
},
{
"value": "Part filled by (A + B + C) in 3 minutes = 3(1/20 + 1/20 + 1/30) = 6/15\\nPart filled by C in 3 minutes = 3/30\\nRequired ratio = 3/30 * 15/6 = 1/4\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Scott's average (arithmetic mean) golf score on his first four rounds was 58.What score does he need on his fifth round to drop his average score by 2 points?\\nOptions:\\n(A) 48\\n(B) 72\\n(C) 78\\n(D) 88\\n(E) 312 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Average score for first 4 rounds = 58\\nAverage score after 5 rounds = 56\\nScore Scott needs on his 5th round to drop average score by 2 points = 58 - (2*5) = 48 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If x, y, and z are positive integers such that x is a factor of y and y is a factor of z, which of the following is NOT necessarily an integer?\\nOptions:\\n(A) (x + y) /z\\n(B) (y + z) /x\\n(C) yz/x\\n(D) (2y + 3z) /x\\n(E) (xy + z) /y Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "As per the question, let x = 2, y = 6, and z = 12. Plugging these into the answer choices, only A does not yield an integer.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "The length of a rectangle is increased by 25% and its breadth is decreased by 15%. What is the effect on its area?\\nOptions:\\n(A) 1288\\n(B) 1299\\n(C) 10625\\n(D) 10000\\n(E) 2887 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "100 * 100 = 10000\\n125 * 85 = 10625\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Look at this series: 53, 53, 46, 46, 39, 39, ... What number should come next?\\nOptions:\\n(A) A) 12\\n(B) B) 14\\n(C) C) 27\\n(D) D) 32\\n(E) E) 86 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "In this series, each number is repeated, then 7 is subtracted to arrive at the next number.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. What is the are of an equilateral triangle of side 20 cm?\\nOptions:\\n(A) 64√5\\n(B) 64√9\\n(C) 64√4\\n(D) 64√3\\n(E) 100√3",
"from": "human"
},
{
"value": "Area of an equilateral triangle = √3/4 S2\\nIf S = 20, Area of triangle = √3/4 * 20 * 20 = 100√3 cm2;\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.145. Find the unknown rate of two towels?\\nOptions:\\n(A) A) 400\\n(B) B) 450\\n(C) C) 500\\n(D) D) 550\\n(E) E) 600 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "10 * 145 = 1450\\n3 * 100 + 5 * 150 = 1050\\n1450 – 1050 = 400 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: In how many different ways can the letters of the word \"FAME\" be rearrangement?\\nOptions:\\n(A) 26\\n(B) 24\\n(C) 28\\n(D) 12\\n(E) 30 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Option 'B'\\nThe total number of arrangements is\\n4P4 = 4! = 24\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
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